%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : CAT018-1 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Apr 9 05:46:31 PM UTC 2025
% Result : Unsatisfiable 6.30s 2.59s
% Output : CNFRefutation 6.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 59 ( 31 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 41 ( 41 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ product > defined > identity_map > compose > #nlpp > domain > codomain > c > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(product,type,
product: ( $i * $i * $i ) > $o ).
tff(domain,type,
domain: $i > $i ).
tff(defined,type,
defined: ( $i * $i ) > $o ).
tff(b,type,
b: $i ).
tff(identity_map,type,
identity_map: $i > $o ).
tff(codomain,type,
codomain: $i > $i ).
tff(compose,type,
compose: ( $i * $i ) > $i ).
tff(c,type,
c: $i ).
tff(f_172,axiom,
defined(b,c),
file(unknown,unknown) ).
tff(f_134,axiom,
! [X] : identity_map(codomain(X)),
file(unknown,unknown) ).
tff(f_51,axiom,
! [X,Y] :
( ~ defined(X,Y)
| product(X,Y,compose(X,Y)) ),
file(unknown,unknown) ).
tff(f_138,axiom,
! [X] : defined(codomain(X),X),
file(unknown,unknown) ).
tff(f_96,axiom,
! [Y,Z,Yz,X] :
( ~ product(Y,Z,Yz)
| ~ defined(X,Yz)
| defined(X,Y) ),
file(unknown,unknown) ).
tff(f_151,axiom,
! [X,Y] :
( ~ defined(X,Y)
| ~ identity_map(X)
| product(X,Y,Y) ),
file(unknown,unknown) ).
tff(f_171,axiom,
defined(a,b),
file(unknown,unknown) ).
tff(f_129,axiom,
! [X,Y,Z] :
( ~ defined(X,Y)
| ~ defined(Y,Z)
| ~ identity_map(Y)
| defined(X,Z) ),
file(unknown,unknown) ).
tff(f_174,axiom,
~ defined(a,compose(b,c)),
file(unknown,unknown) ).
tff(c_40,plain,
defined(b,c),
inference(cnfTransformation,[status(thm)],[f_172]) ).
tff(c_22,plain,
! [X_40] : identity_map(codomain(X_40)),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_2,plain,
! [X_1,Y_2] :
( product(X_1,Y_2,compose(X_1,Y_2))
| ~ defined(X_1,Y_2) ),
inference(cnfTransformation,[status(thm)],[f_51]) ).
tff(c_26,plain,
! [X_42] : defined(codomain(X_42),X_42),
inference(cnfTransformation,[status(thm)],[f_138]) ).
tff(c_75,plain,
! [X_68,Y_69,Yz_70,Z_71] :
( defined(X_68,Y_69)
| ~ defined(X_68,Yz_70)
| ~ product(Y_69,Z_71,Yz_70) ),
inference(cnfTransformation,[status(thm)],[f_96]) ).
tff(c_868,plain,
! [X_135,Y_136,Z_137] :
( defined(codomain(X_135),Y_136)
| ~ product(Y_136,Z_137,X_135) ),
inference(resolution,[status(thm)],[c_26,c_75]) ).
tff(c_1418,plain,
! [X_175,Y_176] :
( defined(codomain(compose(X_175,Y_176)),X_175)
| ~ defined(X_175,Y_176) ),
inference(resolution,[status(thm)],[c_2,c_868]) ).
tff(c_32,plain,
! [X_45,Y_46] :
( product(X_45,Y_46,Y_46)
| ~ identity_map(X_45)
| ~ defined(X_45,Y_46) ),
inference(cnfTransformation,[status(thm)],[f_151]) ).
tff(c_38,plain,
defined(a,b),
inference(cnfTransformation,[status(thm)],[f_171]) ).
tff(c_88,plain,
! [Y_72,Z_73] :
( defined(a,Y_72)
| ~ product(Y_72,Z_73,b) ),
inference(resolution,[status(thm)],[c_38,c_75]) ).
tff(c_105,plain,
! [X_45] :
( defined(a,X_45)
| ~ identity_map(X_45)
| ~ defined(X_45,b) ),
inference(resolution,[status(thm)],[c_32,c_88]) ).
tff(c_1429,plain,
! [Y_176] :
( defined(a,codomain(compose(b,Y_176)))
| ~ identity_map(codomain(compose(b,Y_176)))
| ~ defined(b,Y_176) ),
inference(resolution,[status(thm)],[c_1418,c_105]) ).
tff(c_5245,plain,
! [Y_292] :
( defined(a,codomain(compose(b,Y_292)))
| ~ defined(b,Y_292) ),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_1429]) ).
tff(c_287,plain,
! [X_90,Z_91,Y_92] :
( defined(X_90,Z_91)
| ~ identity_map(Y_92)
| ~ defined(Y_92,Z_91)
| ~ defined(X_90,Y_92) ),
inference(cnfTransformation,[status(thm)],[f_129]) ).
tff(c_297,plain,
! [X_90,X_42] :
( defined(X_90,X_42)
| ~ identity_map(codomain(X_42))
| ~ defined(X_90,codomain(X_42)) ),
inference(resolution,[status(thm)],[c_26,c_287]) ).
tff(c_312,plain,
! [X_90,X_42] :
( defined(X_90,X_42)
| ~ defined(X_90,codomain(X_42)) ),
inference(demodulation,[status(thm),theory(equality)],[c_22,c_297]) ).
tff(c_5317,plain,
! [Y_293] :
( defined(a,compose(b,Y_293))
| ~ defined(b,Y_293) ),
inference(resolution,[status(thm)],[c_5245,c_312]) ).
tff(c_42,plain,
~ defined(a,compose(b,c)),
inference(cnfTransformation,[status(thm)],[f_174]) ).
tff(c_5347,plain,
~ defined(b,c),
inference(resolution,[status(thm)],[c_5317,c_42]) ).
tff(c_5370,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_40,c_5347]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CAT018-1 : TPTP v9.0.0. Released v1.0.0.
% 0.07/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.35 % Computer : n031.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 7 15:39:37 EDT 2025
% 0.13/0.35 % CPUTime :
% 6.30/2.59 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.30/2.59
% 6.30/2.59 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------